Sections of a Differential Spectrum

نویسندگان

  • ALEXEY OVCHINNIKOV
  • Jerald Kovacic
چکیده

We construct sections of a structure presheaf of rational functions on a differential spectrum using only localization and projective limits. For this purpose we introduce a special form of a multiplicative system generated by one differential polynomial and call it D-localization. This technique allows us to obtain sections of a differential spectrum of a differential ring R without computation of diffspecR. We compare our construction with Kovacic’s structure sheaf and with the results obtained by Keigher in [8] and discuss computational aspects. We prove that if R is a factorial differential ring then our construction gives the same answer as Kovacic’s one. Moreover, if R is an RAAD ring then applying sheafification to our preasheaf one gets Kovacic’s structure sheaf.

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تاریخ انتشار 2008